R: Place a trap at long range, traps can be manually detonated to slow targets nearby by 30%. Slow amount increases by 5% per second the trap remains there, to a maximum of 50%

Reasoning for what I've done:
Passive: Her E in dota is now her passive, because I needed to free up one ability slot. it scales with level, so that you have a tristana like effect, albeit you end up with a still very low range. Damage changed to physical.

Q: Same thing. Added some scaling to it, because abilities in league scale. You might think "omg damage immunity so op", but I don't think so given it's high cd, high mana cost, and the fact that it gets absolutely shredded by DoT abilities. In DOTA it also gets shredded by creep aggro, but since there are more creeps in league, and more ranged creeps, I decided to remove that part.

W: Same thing. In dota she MUST break stealth with an autoattack to get the bonus damage. I've decided to give her a .75 second window to attack, because she'll be melee for a good portion of the game and doesn't have the option of increasing her range manually like she can in dota when she needs it.

E: I've moved her ult to her E and given her a new ult. You'll see why. As it's a basic ability, I've lowered it's range by a lot, so she has to rely on pre-placing traps. Because it doesn't have stupidly high range anymore, it's got a flat 50% slow.

R: In dota, TA is very reliant on Blink Dagger as a positioning tool. In league, there is no Blink Dagger, and there are a lot more mobile heroes. What she has is a blink with a low(ish) cooldown and a reasonably long range. It can't be used as an escape because it goes on a 3 second cd whenever she takes damage from a champion. Basically, it is exactly the same thing as a blink dagger, because she really needs one of those to be remotely useful.

Active: Lanaya becomes highly elusive, avoiding incoming damage while gaining increased damage on attacks. These effects are separate and have a limited number of instances. The bonus damage component of Refraction is a direct increase in attack damage.

Duration: 2 / 3 / 4 / 5 / 6 instances or 15 seconds

Bonus Damage: 20 / 35 / 50 / 65 / 80 (+ 20% bonus AD)

Meld

COST: 50 mana

COOLDOWN: 7

Active: Lanaya instantly conceals herself, gaining invisibility as long as she remains still. Her next attack when leaving stealth deals bonus damage and reduces it's target's armor for 5 seconds.

Bonus Damage: 80 / 110 / 140 / 170 / 200 + 60% bonus AD

Armor Reduction: 10 / 20 / 30 / 40 / 50

Psionic Trap

RANGE: 600

COST: 15 mana

COOLDOWN: 11 / 10 / 9 / 8 / 7

Active: Lanaya places an invisible trap that grants vision in a 300 radius area around it. If Psionic Trap is cast while the cursor is over any psionic trap on the map, Lanaya will cast Spring Trap instead.

Maximum Traps: 3 / 5 / 7 / 9 / 11

Spring Trap

RANGE: Global

Active: Springs the targeted trap, slowing all enemies within 450 radius by 50% for two seconds.

Blink

RANGE: 900 / 1100 / 1300

COST: 50 mana

COOLDOWN: 30 / 20 / 10

Lanaya blinks a long distance to a target location. Blink goes on a three second cooldown when Lanaya takes damage from an enemy champion.